A particle of mass m carrying a positive charge q is constrained to move along the x axis. At x = ???L and x = L are two ring charges of radius L (Figure). Each ring is centered on the x axis and lies in a plane perpendicular to it. Each carries a positive charge Q.

(a) Obtain an expression for the potential due to the ring charges as a function of x for -L

(b) Show that in this region, V(x) is a minimum at x = 0.

(c) Show that for x

(d) Derive an expression for the angular frequency of oscillation of the mass m if it is displaced slightly from the origin and released

Transcribed Image Text:

L. -L mass = m